## Calculus: Early Transcendentals 8th Edition

(a) Looking at the graph, you can see that as the function approaches t=0 from the left side, g(t) = -1 (b) As the function approaches t=0 from the right side g(t)= -2 (c) The limit does not exist because as t approaches 0 from both sides, g(t) from the right side $\ne$ g(t) from the left side. (d) As the function approaches t=2 from the left side g(t)= 2 (e) As the function approaches t=2 from the right side g(t)= 0 (f) The limit does not exist because as t approaches 2 from both sides, g(t) from the right side $\ne$ g(t) from the left side. (g) At t=2, g(t) = 1 (h) As the function approaches t=4 from both sides g(t)=3 from the right side AND the left side. Therefore, $\lim\limits_{t \to 4}$ = 3